Rogers-Szego polynomials and Hall-Littlewood symmetric functions
S. Ole Warnaar
TL;DR
This paper demonstrates how Rogers-Szego polynomials can be used to unify and derive key identities related to Hall-Littlewood symmetric functions, enhancing understanding of their algebraic structure.
Contribution
It introduces a novel approach linking Rogers-Szego polynomials with Hall-Littlewood functions to unify existing identities.
Findings
Unified several identities for Hall-Littlewood functions
Provided new proofs using Rogers-Szego polynomials
Enhanced understanding of symmetric function relationships
Abstract
We use Rogers-Szego polynomials to unify some well-known identities for Hall-Littlewood symmetric functions due to Macdonald and Kawanaka.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Mathematical functions and polynomials